Ask question

Ask question

All categories

harkovskaia [24]

3 years ago

8

A 12,500 kg railroad freight car travels on a level track at a speed of 5.2 m/s. It collides and couples with a 22,600 kg second

car, initially at rest and with brakes released. What is the speed of the two cars after collision

1 answer:

Anna35 [415]3 years ago

8 0

Given :

A 12,500 kg railroad freight car travels on a level track at a speed of 5.2 m/s.

It collides and couples with a 22,600 kg second car, initially at rest and with brakes released.

To Find :

The speed of the two cars after collision.

Solution :

It is given that car couples with each other. So speed of both the cars after collision is same. Let, it be v.

Applying conservation of momentum, we get :

$m_1u_1 + m_2u_2 = (m_1 + m_2 )v\\\\12500\times 5.2 + 22600\times 0 = ( 35100)v\\\\35100v = 65000\\\\v = 1.85\ m/s$

Therefore, the speed of the two cars after collision is 1.85 m/s.

You might be interested in

A thin, 100 g disk with a diameter of 8.0 cm rotates about an axis through its center with 0.15 J of kinetic energy. What is the

butalik [34]

Answer:

v=2.45 m/s

Explanation:

The rotational kinetic energy is calculated with:

$K=\frac{I\omega^2}{2}$

The moment of inertia of a disk is:

$I=\frac{mr^2}{2}$

A point on the rim of a disk will have a speed of:

$v=r\omega$

Putting all together:

$v=r\sqrt{\frac{2K}{I}}=r\sqrt{\frac{2(2K)}{mr^2}}=2\sqrt{\frac{K}{m}}$

Which for our values is:

$v=2\sqrt{\frac{0.15J}{0.1Kg}}=2.45m/s$

3 0

4 years ago

Read 2 more answers

Suppose that a parallel-plate capacitor has circular plates with radius R = 25 mm and a plate separation of 4.7 mm. Suppose also

ozzi

Answer:

a) $B_{max} = 1.784*10^{-12}$

Explanation:

Given paraeters are:

R = 25 cm

d = 4.7 mm

f = 60 Hz

$V_m$ = 160 V

a) $V = V_msin(2\pi ft)$

Where $f = 60$ Hz and $V_m = 160$ V

$E =V/d= \frac{V_msin(2\pi ft)}{d}$

For $r = R$

$A = \pi R^2$

Since $\Phi_E = EA$

$\Phi_E=\frac{\pi R^2V_msin(2\pi ft) }{d}$

From Ampere's Law:

$\int B.ds = \mu_0\epsilon_0\frac{d\Phi_E}{dt} + \mu_0I_{encl}$ where $I_{encl}=0$

So at $r = R$ ,

$B.2\pi R = \mu_0\epsilon_0\frac{d\Phi_E}{dt}\\B.2\pi R = \mu_0\epsilon_0\frac{2\pi^2fR^2V_mcos(2\pi ft)}{d}\\B = \frac{\mu_0\epsilon_0\pi fRV_mcos(2\pi ft)}{d}$

For maximum B, cos(2πft) = 1. Hence,

$B_{max}=\frac{\mu_0\epsilon_0\pi fRV_m}{d}=\frac{4\pi*10^{-7}*8.85*10^{-12}*\pi*60*0.025*160}{4.7*10^{-3}}=1.784*10^{-12}$ T

b) From r = 0 to r = R = 0.025 m, by Ampere's Law, the equation will be:

$B = \frac{\mu_0\epsilon_0\pi fR^2V_m}{rd}$

From r = R = 0.025 m to r = 0.1 m, by Ampere's Law, the equation will be:

$B = \frac{\mu_0\epsilon_0\pi fRV_m}{d}$

The plot is given in the attachment.

5 0

4 years ago

Which statement describes the formation of the Milky Way galaxy?

Oliga [24]

Answer:

A disk formed of a long trail of stars coiled into a spiral.

Explanation:

5 0

3 years ago

1. Alcohol use causes ___________ which may lead to mistakes in judgment involving other drugs, driving, sex, and violent behavi

ankoles [38]

Alcohol use causes to reduced inhibitions that which it may be lead to mistakes in judgment with other drugs, sex, driving, and violent. When everyone drink alcohol it is bad for everyone it is for adults only ask to permission to do that.

5 0

4 years ago

Read 2 more answers

What is the meaning of anything

larisa86 [58]

Answer:

everything

Explanation:

Used to refer to a thing, no matter what

4 0

3 years ago